\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 4/0/C}
    \tkzDefTriangle[two angles=45 and 60](B,C)  \tkzGetPoint{A}
    \tkzDefPointBy[rotation=center C angle 45](A)  \tkzGetPoint{a}
    \tkzInterLL(C,a)(A,B)  \tkzGetPoint{P}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegment(C,P)
    \extkzLabelAngel[0.5](A,C,P){$1$}
    \extkzLabelAngel[0.5](C,P,A){$2$}
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](B,P)
    \tkzLabelPoints[right](C)
\end{tikzpicture}

